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Mathematics I Functions Sheet No. 3 A. Find the Domain and Range of each function. 1. j(X) = 1 +x 2. f(x) = 1- V 1 3. F() 1 %3D 4. F(t) Vi 1+ Vt 5. g(z) V4 - 1 = 6. g(z) %3D \ 4-z B. In Exercises 7 and 8, which of the graphs are graphs of functions of x, and which are not? Give reasons for your answers, . a. b. 8. a.

Mathematics I Functions Sheet No. 3 A. Find the Domain and Range of each function. 1. j(X) = 1 +x 2. f(x) = 1- V 1 3. F() 1 %3D 4. F(t) Vi 1+ Vt 5. g(z) V4 - 1 = 6. g(z) %3D \ 4-z B. In Exercises 7 and 8, which of the graphs are graphs of functions of x, and which are not? Give reasons for your answers, . a. b. 8. a.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Mathematics I Functions Sheet No. 3 A. Find the Domain and Range of each function. 1. f(x) = 1 + x? 2. flx) = 1 - 1 3. F() = Vi 1 4. F(t) = 1+ Vt 5. g(z) = V4 - - 1 6. g(z) \ 4 - z B. In Exercises 7 and 8, which of the graphs are graphs of functions of x, and which are not? Give reasons for your answers. 7. a. 8. a. 12 h. C. Find the natural domain and graph the functions in Exercises 9-10. 9. f(x) = 5 – 2x 10. g(x) = Vlx| D. In Exercises 11-14, say whether the function is even, odd, or neither. Give reasons for your answer. 11) f(x) = x 12) f(x) = x +x 13) g(x) 14) |t |= g(t) 1-1
Transcribed Image Text:Mathematics I Functions Sheet No. 3 A. Find the Domain and Range of each function. 1. f(x) = 1 + x? 2. flx) = 1 - 1 3. F() = Vi 1 4. F(t) = 1+ Vt 5. g(z) = V4 - - 1 6. g(z) \ 4 - z B. In Exercises 7 and 8, which of the graphs are graphs of functions of x, and which are not? Give reasons for your answers. 7. a. 8. a. 12 h. C. Find the natural domain and graph the functions in Exercises 9-10. 9. f(x) = 5 – 2x 10. g(x) = Vlx| D. In Exercises 11-14, say whether the function is even, odd, or neither. Give reasons for your answer. 11) f(x) = x 12) f(x) = x +x 13) g(x) 14) |t |= g(t) 1-1
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